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Finding the Third Proportional to 74,799 and 163,673

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Solution

The third proportional to 74,799 and 163,673 is: 358,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,799 : 163,673 = 163,673 : x
  2. Step 2: Convert to fraction form
    74,799/163,673 = 163,673/x
  3. Step 3: Cross multiply
    74,799x = 163,673 × 163,673
  4. Step 4: Simplify right side
    74,799x = 26,788,850,929
  5. Step 5: Solve for x
    x = 26,788,850,929/74,799
  6. Step 6: Final answer
    x = 358,144.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.